The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions. (21st April 2021)

• Record Type: Journal Article
• Authors: Gao, Dongdong; Li, Jianli; Luo, Zhiguo; Luo, Danfeng
• Other Names: Riganti-Fulginei Francesco Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-04-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/5578936
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper is devoted to presenting an averaging principle for stochastic pantograph equations. Under suitable non-Lipschitz conditions, the solutions to stochastic pantograph equations can be approximated by solutions to averaged stochastic systems in the mean-square sense and probability. At last, an example is given to demonstrate the feasibility of obtained results. Moreover, our results have generalized significantly some previous ones.